It took approximately 132.193 labor days to complete the first helicopter.
The learning rate of 80% implies that with each additional unit produced, the time required to manufacture the unit decreases by 20%. Let's assume the time required to complete the first helicopter is represented by x labor days.
Using the learning rate formula, we can write an equation to represent the relationship between the number of helicopters produced and the time required: (x) * (0.8)^(n-1) = t, where n represents the number of helicopters produced and t represents the time required.
Given that it took 106.496 labor days to complete the 16th helicopter, we can substitute the values into the equation: (x) * (0.8)^(16-1) = 106.496.
Simplifying, we have (x) * (0.8)^15 = 106.496.
To solve for x, we divide both sides of the equation by (0.8)^15: x = 106.496 / (0.8)^15.Evaluating this expression, we find x ≈ 132.193.Therefore, it took approximately 132.193 labor days to complete the first helicopter.
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Find the equation of the line
The line has a slope of 4 and passes through the point (2,-1).
3. For each object, choose an appropriate scale fora
drawing that fits on a regular sheet of paper, Not all of the
scales on the list will be used,
20
Objects
A. A person
B. A football field
(120 yards by
53, yards)
C. The state of
Washington
(about 240
miles by 360
miles)
The floor plan
of a house
E. A rectangular
farm (6 miles
by 2 mile)
Scales
1. 1 in : 111
Di cm: 1m
3. 1:1000
4. Ift: 1 mile
5. 1:100,000
6.1 mm: 1 km
7. 1:10,000,000
Answer:
Step-by-step explanation:
A person: 1 in : 1 ft
A football field (120 yards by 53 1/3 yards) is 10,000,000
C The state of Washington (about 240 miles by 360 is 1 fit: 1 mile
D The floor plan of a house is 1 mm: 1 km
E A rectangular farm (6 miles by 2 mile) is 1 cm : 1 cm
The entries in the index of the National Codes are listed under one main term. True or False?
it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.
The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.
In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.
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Please help ASAP !!!!
Answer:
AB(12, -8)?
Step-by-step explanation:
I think that's it but I haven't done something like this in a hot minute. If it's wrong I'm sorry
log(2x)=2 what is the value of x.
Answer:
Step-by-step explanation:
12
1/2 of 12 = 1/4 of ?
1/3 of 90 = 2/3 of?
Answer: 1/2 of 12 = 1/4 of 24 and 1/3 of 90 = 2/3 of 45
Step-by-step explanation:
Answer:
1. 1/4 of 24
half of 12 is 6.
6+6+6+6 = 24
1/4 of 24 is 6
1/2 of 12 is 6
2. 2/3 of 45
1/3 of 90 is 30
15+15+15 = 45
so 2/3 would be 30
The temperature outside is 22 degrees C. What is this temperature in degrees Fahrenheit? Write hour answer as a decimal
eighteen fahrwnheit
goodluck :)
Answer:
22 degrees celsius turns to 71.6 into fahrenheit.
need help pls
i cant solve this
Answer:
11.2 units
Step-by-step explanation:
To find the distance between two points, you will need to use the distance formula: \(\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }\) where \(x_{1} = -2, y_{1} = 8, x_{2} = 3, y_{2} = -2\)
Plugging the numbers in, we get:
\(\sqrt{(3-(-2))^{2}+(-2-8)^{2}}\)
Which we can simplify to:
\(\sqrt{(5)^{2}+(-10)^{2}}\)
Squaring both numbers, we get:
\(\sqrt{25+100}\)
Adding the numbers together, we get:
\(\sqrt{125}\)
Which can be simplified to:
\(5\sqrt{5}\) or 11.18033989, and rounding to the nearest tenth we'd get 11.2.
Therefore, the distance between the points (-2, 8) and (3, -2) is 11.2 units.
________________________________________________
Answer:
( 50, 30 )
Step-by-step explanation:
Equal distance
Polina has some juice pouches that each contain 7 fluid ounces of juice. write an equation that relates the number of juice pouches (p) to the total volume of juice (j) in fluid ounces
Each of Polina's juice pouches holds 7 fluid ounces of juice. A equation that connects the quantity of juice in each pouch to the overall amount in fluid ounces is p-7j=0.
Given that,
Each of Polina's juice pouches holds 7 fluid ounces of juice.
We have to create a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces.
The equation is p=7j
p-7j=0
Therefore, a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces is p-7j=0.
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The inverse of a function can be found by ___ the numbers in each ordered pair of the function.
The inverse of a function can be found by swapping the numbers in each ordered pair of the function.
When you have a function with ordered pairs, the inverse of that function can be found by reversing the order of the numbers within each pair. In other words, if you have a function f(x) with ordered pairs (a, b), the inverse function, f^ (-1) (x), will have ordered pairs (b, a). This process essentially switches the input and output values of the original function.
To find the inverse of a function, simply swap the numbers in each ordered pair, resulting in the ordered pairs for the inverse function.
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the product of two numbers is 5070 and their LCM is 390 find the GCD of two numbers
\(\\ \sf\Rrightarrow Product=LCM(GCD)\)
\(\\ \sf\Rrightarrow 5070=390GCD\)
\(\\ \sf\Rrightarrow GCD=5070/390\)
\(\\ \sf\Rrightarrow GCD=13\)
Key words:-
LCM=Lowest common multipleGCD=Greatest common divisorsolve the equation on the interval [0, 2π). sin2 x - cos2 x = 0
Answer:
pi/8 + k(pi/2)
Step-by-step explanation:
2x=t
sint - cost = 0
sint/cost - cost/cost = 0
tant = 1
t= pi/4 + k(pi) = 2x
x = pi/8 + k(pi/2)
[0;2pi]
x= pi/8
x= pi/8 + pi/2 = 5pi/8
x= 9pi/8
x= pi/8 + 3pi/2 = 13pi/8
I need help with is please
Answer:
true
true
true
true
true
What is the value of x log3 x=4
Answer:
x=81
Step-by-step explanation:
Rewrite log_3 (x)=4 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then log_b(x)=y is equivalent to b^y=x.
Rewrite the equation as x=3^4
Raise 3 to the power of 4
x=81
Find a 98% confidence interval for the true population proportion, p, when p
^
=0.25 and n=400
Find a 98% confidence interval for the true population proportion, p, when p^=0.25 and n=400
The 98% confidence interval for the true population proportion, p, with p^=0.25 and n=400 is approximately (0.216, 0.284).
To calculate the confidence interval, we can use the formula:
CI = p^ ± z * √[(p^ * (1 - p^)) / n]
where p^ is the sample proportion, n is the sample size, and z is the critical value corresponding to the desired confidence level.
For a 98% confidence level, the critical value is approximately 2.33 (obtained from a standard normal distribution). Plugging in the given values, we have:
CI = 0.25 ± 2.33 * √[(0.25 * (1 - 0.25)) / 400]
Calculating this expression, we find that the confidence interval is approximately (0.216, 0.284). This means we can be 98% confident that the true population proportion, p, lies within this interval.
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33 POINTS! Right answer gets brainliest
Find the area of the shape below.
Answer: 112.5 m^2
Step-by-step explanation:
Area of rectangle = lw
l = 7.5
w = 15
7.5 * 15 = 112.5
Answer:
112.5 Meters
Step-by-step explanation:
The Area is length x width.
7 1/2 meters x 15 meters is equal to 112.5 meters to therefore the Area of that rectangle is 112.5 meters.
What would be the volume of this solid if the height were halved and the other dimensions were reduced proportionally? Round to the nearest whole number.
The image?is of a?parallelogram prism standing on its face and making an angle of 60 degrees with horizontal. The dimension of prism is 3 cm by 4cm by 10 cm.
Ira enters a competition to guess how many buttons are in a jar.
Ira’s guess is 200 buttons.
The actual number of buttons is 250.
What is the percent error of Ira’s guess?
CLEAR CHECK
Percent error =
%
Ira’s guess was off by
%.
The answer of the question based on the percentage is , the percent error of Ira’s guess would be 20%.
Explanation: Percent error is used to determine how accurate or inaccurate an estimate is compared to the actual value.
If Ira had guessed the right number of buttons, the percent error would be zero percent.
Percent Error Formula = (|Measured Value – True Value| / True Value) x 100%
Given that Ira guessed there are 200 buttons but the actual number of buttons is 250
So, Measured value = 200 True value = 250
|Measured Value – True Value| = |200 - 250| = 50
Now putting the values in the formula;
Percent Error Formula = (|Measured Value – True Value| / True Value) x 100%
Percent Error Formula = (50 / 250) x 100%
Percent Error Formula = 0.2 x 100%
Percent Error Formula = 20%
Hence, the percent error of Ira’s guess is 20%.
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I need help with question 5, I need an answer pls
5a. A function to show p, the number of parrots t years after 2010 is \(P(t) = 515(1.54)^t\\\\\).
5b. The number of parrots that is expected to be there in 2016 is 6,870 parrots.
How to create a function that can be used to find the number of parrots t years after 2010?In Mathematics and Statistics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:
\(P(t) = I(1 + r)^t\\\\\)
Where:
P(t) represents the population.t represents the time or number of years.I represents the initial value of the population.r represents the decay rate.Part a.
By substituting the given parameters into the formula, an exponential function to show p, the number of parrots t years after 2010 is given by;
\(P(t) = I(1 + r)^t\\\\\)
4418= 515(1 + r)⁵
(1 + r)⁵ = 4418/515
(1 + r)⁵ = 8.5786407766990
1 + r = 1.54
Therefore, the required exponential function to show p is given by;
\(P(t) = 515(1.54)^t\\\\\)
Part b.
When t = 6 years, the number of parrots can be calculated as follows;
\(P(6) = 515(1.54)^6\)
P(6) = 6,869.60 ≈ 6,870 parrots.
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What DIY tools do you use in math-riddle-and no protractors is not the word.
Answer:
Step-by-step explanation:
how the heck are we supposed to know this?????
Answer:
You use multiplyers
Please hurry please I will mark smartest
Answer:
B = 75
A = 60
b 15+ faster than a
what is 30.7% of 520
Answer:
159.64
Step-by-step explanation:
30.7% / 100 = 0.307 then you would do
0.307 x 520 = 159.64
A satellite is 13,200 miles from the horizon of Earth. Earth's radius is about 4,000 miles. Find the approximate distance the satellite is from the Earth's surface.
The satellite is approximately 9,200 miles from the Earth's surface.
To find the approximate distance the satellite is from the Earth's surface, we can subtract the Earth's radius from the distance between the satellite and the horizon. The distance from the satellite to the horizon is the sum of the Earth's radius and the distance from the satellite to the Earth's surface.
Given that the satellite is 13,200 miles from the horizon and the Earth's radius is about 4,000 miles, we subtract the Earth's radius from the distance to the horizon:
13,200 miles - 4,000 miles = 9,200 miles.
Therefore, the approximate distance of the satellite from the Earth's surface is around 9,200 miles.
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help please i am stuck
Q-3: Let W = {CC b= + ae R :c = 2a + 3b, a, b E R}be a subset of R3. Show that Wis a subspace of R3. Find a set S such that W = span S. Find a basis for W. What is dim W? =
W = {c ∈ R^3 : c = 2a + 3b, a, b ∈ R} is a subspace of R^3, spanned by the set S = {(2, 0, 0), (0, 3, 0)}, with a basis of S and dimension dim W = 2.
To show that W = {c ∈ R^3 : c = 2a + 3b, a, b ∈ R} is a subspace of R^3, we need to demonstrate that it satisfies the three conditions for being a subspace: closure under addition, closure under scalar multiplication, and contains the zero vector.
1. Closure under addition: Suppose c1 = 2a1 + 3b1 and c2 = 2a2 + 3b2 are two arbitrary vectors in W. We need to show that their sum, c1 + c2, is also in W. We can write c1 + c2 as (2a1 + 2a2) + (3b1 + 3b2), which can be rewritten as 2(a1 + a2) + 3(b1 + b2). This shows that c1 + c2 satisfies the defining condition of W, and hence, W is closed under addition.
2. Closure under scalar multiplication: Let c = 2a + 3b be an arbitrary vector in W, and let k be a scalar. We need to show that kc is also in W. We have kc = k(2a + 3b) = 2(ka) + 3(kb). This shows that kc satisfies the defining condition of W, and thus, W is closed under scalar multiplication.
3. Contains the zero vector: The zero vector in R^3 can be represented as c = 2(0) + 3(0) = 0. Since 0 satisfies the defining condition of W, we conclude that W contains the zero vector.
Therefore, W is a subspace of R^3.
To find a set S such that W = span(S), we need to find a set of vectors that spans W. From the defining condition of W, we can rewrite it as W = {c ∈ R^3 : c = 2a + 3b}.
One possible set S that spans W is S = {(2, 0, 0), (0, 3, 0)}, where (2, 0, 0) represents 2a and (0, 3, 0) represents 3b. Any vector in W can be expressed as a linear combination of these two vectors.
To find a basis for W, we need to determine a set of linearly independent vectors from S. Since S only contains two vectors, and they are linearly independent (neither can be expressed as a scalar multiple of the other), S itself forms a basis for W.
The dimension of W is equal to the number of vectors in its basis, which in this case is 2. Hence, dim W = 2.
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Katie wants to buy a magazine at the book fair. It costs $7. 50 but she has a 20% off coupon. Which expressions could be used to find the sale price?
To find the sale price of the magazine with a 20% off coupon, you can use the following expressions:
Sale Price = Cost - (Cost x 0.2) Sale Price = Cost x (1 - 0.2) Sale Price = Cost x 0.8Below, you will learn how to solve the problem.
In this case, the cost of the magazine is $7.50, so the sale price would be:
Sale Price = 7.50 - (7.50 x 0.2) = $6.00 Sale Price = 7.50 x (1 - 0.2) = $6.00 Sale Price = 7.50 x 0.8 = $6.00What is a percentage?The percentage represents a certain amount, expressed as a fraction of 100 equal parts.
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SOMEONE HELP ME !!!
The side length of a smaller square is one-third the side length of a larger square.ee
the following statements describes the area of the smaller square?
F The area of the smaller square is I the area of the larger square.
27
G The area of the smaller square is 172 the area of the larger square.
H The area of the smaller square is the area of the larger square.
1 The area of the smaller square is
the area of the larger square,
3
1 / 2
SOMEONE HELP ME !!!
Answer:
H
Step-by-step explanation:
lets say the first big square has side s, so the area will be s²
then the side of the small square is s/3, and the area is (s/3)²= s²/3² =s²/9
the area of the smaller square is 1/9 smaller than the area of the big square
write an equation for the altitude from vertex A of the triangle where point a is (-1,0) point b is (8,-5) and point c is (2,-3)
The equation of the altitude from vertex A of the triangle is y = (3/2)x + 3/2.
To write an equation for the altitude from vertex A of the triangle where point A is (-1,0), point B is (8,-5), and point C is (2,-3), we need to use the slope-intercept form of an equation for the line that contains the side opposite vertex A. Here are the steps:
1. Find the slope of the line containing side BC using the slope formula: m = (yb - yc)/(xb - xc) = (-5 - (-3))/(8 - 2) = -2/3.
2. Find the equation of the line containing side BC using point-slope form: y - yb = m(x - xb). Using point B, we get: y + 5 = (-2/3)(x - 8). Simplifying, we get y = (-2/3)x + 19/3.
3. The altitude from vertex A of the triangle is perpendicular to side BC. Therefore, its slope is the negative reciprocal of the slope of side BC, which is 3/2.
4. We can find the equation of the altitude by using point-slope form again, this time using point A: y - ya = m(x - xa). Using point A and the slope 3/2, we get: y - 0 = (3/2)(x + 1). Simplifying, we get: y = (3/2)x + 3/2.
Summary: To find the equation of the altitude from vertex A of the given triangle, we first found the slope of the line containing the side opposite vertex A, which is BC. Then, we found the equation of this line using point-slope form. Next, we used the fact that the altitude is perpendicular to side BC and found its slope, which is the negative reciprocal of the slope of side BC. Finally, we used the point-slope form again to find the equation of the altitude using point A and its slope. The equation we obtained is y = (3/2)x + 3/2.
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PLS HELP
WHAT IS THE WIDTH AND THE LENGTH?!
Answer:
The width is 8.27 inches and the length is 11.69 inches
Step-by-step explanation:
210/25.4=8.27
297/25.4=11.69
Why is math considered to have a sequential learning pattern?.
Math is considered to have a sequential learning pattern because concepts and skills are introduced in a specific order, building upon previously learned material.
In math, concepts and skills are typically organized in a sequential manner, where each new topic builds upon what has been previously learned. This sequential learning pattern allows students to develop a solid foundation and gradually progress to more advanced topics.
For example, in elementary school, students first learn basic arithmetic operations like addition and subtraction before moving on to multiplication and division. These foundational skills are essential for understanding more complex mathematical concepts later on, such as algebra, geometry, and calculus. By following a sequential learning pattern, students can gradually develop their mathematical understanding and problem-solving abilities. They are able to connect new concepts to what they have already learned, reinforcing their knowledge and enabling them to apply it in different contexts. This sequential approach also ensures that students have the necessary prerequisite knowledge and skills to comprehend more advanced mathematical concepts. It helps create a logical progression in mathematical education, allowing students to build upon their previous knowledge and continually expand their mathematical abilities.
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